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Bar Stool Economics: Does it compute?

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Bar Stool Economics: Does it compute?

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Supposedly a David R. Kamerschen, Ph.D., Professor of Economics at the University of Georgia wrote this analogy on the redistribution of wealth. I would like to know if his logic/explanation makes mathematical sense or if there are partial or total wrong assumptions on his reasoning. Here it goes: Suppose that every day, ten men go out for beer and the bill for all ten comes to $100. If they paid their bill the way we pay our taxes, it would go something like this: The first four men (the poorest) would pay nothing. The fifth would pay $1. The sixth would pay $3. The seventh would pay $7. The eighth would pay $12. The ninth would pay $18. The tenth man (the richest) would pay $59. So, that’s what they decided to do. The ten men drank in the bar every day and seemed quite happy with the arrangement, until one day, the owner threw them a curve. ‘Since you are all such good customers,’ he said, ‘I’m going to reduce the cost of your daily beer by $20.’ Drinks for the ten now cost just $80.

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